Cremona's table of elliptic curves

688 = 2⁴ · 43

Class	r	Atkin-Lehner	Eigenvalues
688a (1 curve)	1	2+ 43+	2+  0 -2  2 -1 -1 -7  6
Curve Equation t Generators 688a1 [0,0,0,4,-4] 1 [1:1:1]
688b (2 curves)	0	2- 43+	2-  2  0  4  3 -1 -3 -2
Curve Equation t 688b1 [0,-1,0,-13,-15] 1 688b2 [0,-1,0,67,-79] 1
688c (1 curve)	1	2- 43-	2-  2 -4  0 -3 -5 -3  2
Curve Equation t Generators 688c1 [0,-1,0,-5,-19] 1 [4:3:1]

Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

Part of Computational Number Theory
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